Question

Suppose 200 subjects are treated with a drug that is used to treat pain and 52 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20?% of users develop nausea.

Identify the null and alternative hypotheses for this test.

Identify the test statistic for this hypothesis test.

Suppose

200200

subjects are treated with a drug that is used to treat pain and

5252

of them developed nausea. Use a

0.050.05

significance level to test the claim that more than

2020?%

of users develop nausea.

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A.

Upper H 0H0?:

pequals=0.200.20

Upper H 1H1?:

pless than<0.200.20

B.

Upper H 0H0?:

pgreater than>0.200.20

Upper H 1H1?:

pequals=0.200.20

C.

Upper H 0H0?:

pequals=0.200.20

Upper H 1H1?:

pnot equals?0.200.20

D.

Upper H 0H0?:

pequals=0.200.20

Upper H 1H1?:

pgreater than>0.200.20

Identify the test statistic for this hypothesis test.

Identify the? P-value for this hypothesis test.

Identify the conclusion for this hypothesis test.

Answer 1

The hypotheses for the claim that more than 20?% of users develop nausea is,

D.

Upper H 0H0?:

pequals=0.200.20

Upper H 1H1?:

pgreater than>0.200.20

Standard error of the proportion, se =

Observed proportion, phat = 52 / 200 = 0.26

Test statistic, z = (phat - p )/ se

= (0.26 - 0.20) / 0.02828427

= 2.12

P-value = P(z > 2.12) = 0.017

As, the p-value is less than 0.05 significance level, we reject H0 and conclude that there is significant evidence that the more than 20?% of drug users develop nausea.